This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.983871

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.03 while 0.97 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

13

3

2

0.084

0.069

0.018

0.244

1.011

0.059

0.255

NSEI

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta0_pH

15

4

0.601

0.948

-2.072

1.600

1.191

0.970

-0.358

SSEI

beta1_pH

15

4

1.139

0.805

0.116

3.837

1.187

1.003

0.333

SSEI

tau_beta1_pH

3

4

4.332

0.349

0.011

34.433

1.102

10.430

0.382

PWSI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

185.00

190.00

741.00

317.00

Prop. of total

0.49

0.51

0.70

0.30

Prop. median less than 1

0.47

0.23

0.38

0.45

Prop. median less than 10

0.65

0.59

0.63

0.79

Prop. median less than 50

0.88

0.86

0.77

0.84

Median of the median values

1.49

6.81

3.07

1.42

Mean of the median values

30.14

71.38

105.22

103.18

Mean skew of posteriors

0.28

0.29

0.27

0.25

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

1.00

5.00

39.00

30.00

Prop. of total

0.17

0.83

0.57

0.43

Prop. median less than 1

1.00

0.40

0.79

0.63

Prop. median less than 10

1.00

1.00

0.87

0.87

Prop. median less than 50

1.00

1.00

0.90

0.93

Median of the median values

0.00

1.12

0.01

0.39

Mean of the median values

0.00

1.31

30.79

29.06

Mean skew of posteriors

0.43

0.21

0.15

0.18

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta0_pH

1

beta1_pH

1

Ho_ay

1

Ho_ayu

1

Hs_ay

1

Hs_ayg

1

Hs_ayu

1

Hy_ay

2

Hy_ayu

2

R_ayu

3

Rb_ayu

1

Rd_ayg

3

Rd_ayu

1

Ro_ay

7

Ro_ayg

8

Ro_ayu

17

Rp_ayu

1

Rs_ayu

1

Ry_ay

13

Ry_ayg

6

Ry_ayu

24

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.018 0.070 -0.146 -0.021 0.127
mu_bc_H[2] 0.074 0.054 -0.029 0.070 0.186
mu_bc_H[3] -0.271 0.067 -0.395 -0.274 -0.134
mu_bc_H[4] -0.922 0.184 -1.304 -0.918 -0.565
mu_bc_H[5] 1.348 1.179 0.124 1.067 4.560
mu_bc_H[6] -2.398 0.319 -2.993 -2.406 -1.768
mu_bc_H[7] -0.452 0.101 -0.658 -0.448 -0.264
mu_bc_H[8] 0.269 0.363 -0.322 0.240 1.062
mu_bc_H[9] -0.246 0.124 -0.488 -0.248 0.006
mu_bc_H[10] 0.057 0.065 -0.064 0.056 0.190
mu_bc_H[11] -0.123 0.037 -0.198 -0.123 -0.050
mu_bc_H[12] -0.252 0.107 -0.480 -0.246 -0.061
mu_bc_H[13] -0.156 0.071 -0.291 -0.157 -0.013
mu_bc_H[14] -0.296 0.090 -0.484 -0.293 -0.124
mu_bc_H[15] -0.324 0.048 -0.416 -0.325 -0.227
mu_bc_H[16] -0.214 0.362 -0.865 -0.239 0.610
mu_bc_R[1] 1.037 0.120 0.799 1.037 1.271
mu_bc_R[2] 1.011 0.075 0.856 1.012 1.152
mu_bc_R[3] 0.220 0.089 0.041 0.223 0.390
mu_bc_R[4] 0.675 0.202 0.269 0.676 1.056
mu_bc_R[5] 1.669 0.377 0.959 1.669 2.419
mu_bc_R[6] -1.433 0.349 -2.123 -1.439 -0.741
mu_bc_R[7] 0.520 0.168 0.171 0.521 0.844
mu_bc_R[8] 0.644 0.149 0.360 0.644 0.935
mu_bc_R[9] 0.386 0.170 0.021 0.395 0.691
mu_bc_R[10] 0.891 0.103 0.695 0.892 1.088
mu_bc_R[11] 1.104 0.076 0.953 1.104 1.255
mu_bc_R[12] 0.888 0.164 0.561 0.888 1.209
mu_bc_R[13] 1.065 0.094 0.870 1.066 1.249
mu_bc_R[14] 0.846 0.125 0.588 0.850 1.085
mu_bc_R[15] 0.724 0.096 0.537 0.723 0.915
mu_bc_R[16] 1.303 0.107 1.077 1.306 1.507
tau_pH[1] 2.447 0.184 2.087 2.440 2.826
tau_pH[2] 1.588 0.147 1.312 1.583 1.895
tau_pH[3] 2.269 0.300 1.722 2.251 2.879
tau_pH[4] 1.043 0.144 0.783 1.034 1.362
tau_pH[5] 1.021 0.153 0.757 1.013 1.348
beta0_pH[1,1] 0.547 0.185 0.142 0.560 0.879
beta0_pH[2,1] 1.410 0.171 1.064 1.416 1.724
beta0_pH[3,1] 1.367 0.256 0.740 1.404 1.746
beta0_pH[4,1] 1.541 0.254 0.945 1.568 1.963
beta0_pH[5,1] -0.806 0.394 -1.786 -0.762 -0.140
beta0_pH[6,1] -0.585 0.473 -1.851 -0.470 0.035
beta0_pH[7,1] 0.753 0.010 0.732 0.752 0.773
beta0_pH[8,1] -0.750 0.443 -1.842 -0.682 -0.070
beta0_pH[9,1] -0.361 0.326 -1.110 -0.316 0.150
beta0_pH[10,1] 0.264 0.196 -0.147 0.275 0.631
beta0_pH[11,1] 0.036 0.323 -0.633 0.048 0.639
beta0_pH[12,1] 0.648 0.195 0.238 0.655 1.005
beta0_pH[13,1] -0.681 0.157 -1.008 -0.676 -0.392
beta0_pH[14,1] 0.051 0.183 -0.329 0.056 0.391
beta0_pH[15,1] 0.064 0.202 -0.390 0.084 0.403
beta0_pH[16,1] -0.992 0.215 -1.419 -0.983 -0.590
beta0_pH[1,2] 2.564 0.084 2.404 2.563 2.730
beta0_pH[2,2] 3.078 0.022 3.035 3.079 3.122
beta0_pH[3,2] 3.626 0.041 3.549 3.625 3.708
beta0_pH[4,2] 2.937 0.019 2.901 2.937 2.974
beta0_pH[5,2] 4.503 1.498 2.701 4.198 8.197
beta0_pH[6,2] 3.328 0.157 3.035 3.324 3.642
beta0_pH[7,2] 2.025 0.050 1.927 2.023 2.124
beta0_pH[8,2] 2.821 0.065 2.695 2.819 2.948
beta0_pH[9,2] 3.961 0.207 3.585 3.954 4.392
beta0_pH[10,2] 4.000 0.128 3.748 4.000 4.262
beta0_pH[11,2] 1.888 0.009 1.870 1.888 1.906
beta0_pH[12,2] 1.802 0.067 1.672 1.799 1.935
beta0_pH[13,2] 2.500 0.026 2.448 2.500 2.551
beta0_pH[14,2] 1.804 0.024 1.758 1.804 1.854
beta0_pH[15,2] 2.550 0.017 2.518 2.550 2.584
beta0_pH[16,2] 2.777 0.025 2.728 2.777 2.824
beta0_pH[1,3] 0.708 0.584 -0.801 0.886 1.369
beta0_pH[2,3] 2.126 0.018 2.091 2.125 2.159
beta0_pH[3,3] 2.689 0.024 2.642 2.689 2.736
beta0_pH[4,3] 2.981 0.035 2.916 2.981 3.050
beta0_pH[5,3] 3.833 2.699 0.961 3.099 11.434
beta0_pH[6,3] 1.254 0.328 0.689 1.222 1.964
beta0_pH[7,3] 0.855 0.051 0.756 0.856 0.957
beta0_pH[8,3] 0.286 0.123 0.032 0.294 0.505
beta0_pH[9,3] -2.877 1.108 -5.347 -2.752 -0.967
beta0_pH[10,3] -0.883 0.886 -2.952 -0.771 0.610
beta0_pH[11,3] -0.049 11.400 -22.807 0.218 22.376
beta0_pH[12,3] -0.195 11.399 -22.887 -0.316 22.264
beta0_pH[13,3] -0.201 11.175 -22.380 -0.001 21.693
beta0_pH[14,3] -0.011 11.242 -21.829 0.172 21.472
beta0_pH[15,3] -0.118 11.313 -22.530 -0.117 21.984
beta0_pH[16,3] -0.303 11.157 -21.993 -0.337 21.331
beta0_pH[11,4] 1.537 0.732 -0.293 1.613 2.728
beta0_pH[12,4] 1.405 1.101 -1.277 1.445 3.482
beta0_pH[13,4] 1.922 0.778 0.218 1.991 3.219
beta0_pH[14,4] 0.727 0.638 -0.798 0.800 1.709
beta0_pH[15,4] 0.601 0.970 -2.072 0.948 1.600
beta0_pH[16,4] 1.291 0.824 -0.743 1.377 2.681
beta0_pH[11,5] 1.285 0.107 1.104 1.275 1.518
beta0_pH[12,5] -2.309 0.435 -3.257 -2.259 -1.581
beta0_pH[13,5] 0.762 0.055 0.664 0.758 0.875
beta0_pH[14,5] 0.614 0.230 0.178 0.607 1.084
beta0_pH[15,5] 2.266 0.440 1.628 2.174 3.307
beta0_pH[16,5] -0.768 0.066 -0.894 -0.770 -0.633
beta1_pH[1,1] 2.619 0.520 1.805 2.542 3.911
beta1_pH[2,1] 1.620 0.349 1.055 1.591 2.404
beta1_pH[3,1] 1.854 0.466 1.156 1.776 3.123
beta1_pH[4,1] 1.988 0.494 1.255 1.904 3.374
beta1_pH[5,1] 2.332 0.506 1.509 2.276 3.552
beta1_pH[6,1] 2.205 0.800 1.097 2.033 4.301
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.630 1.051 1.249 2.357 5.317
beta1_pH[9,1] 2.182 0.771 1.242 2.009 4.598
beta1_pH[10,1] 2.183 0.405 1.498 2.135 3.127
beta1_pH[11,1] 3.401 0.552 2.497 3.342 4.656
beta1_pH[12,1] 2.873 0.291 2.323 2.863 3.477
beta1_pH[13,1] 3.493 0.259 3.009 3.486 4.025
beta1_pH[14,1] 2.813 0.334 2.214 2.794 3.501
beta1_pH[15,1] 2.393 0.288 1.895 2.376 3.011
beta1_pH[16,1] 4.181 0.303 3.606 4.171 4.772
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 3.397 1.643 1.188 2.921 7.298
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.914 2.369 2.234 4.097 11.389
beta1_pH[9,3] 8.489 2.671 4.124 8.123 14.182
beta1_pH[10,3] 7.206 2.748 3.084 6.658 13.422
beta1_pH[11,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,4] 1.977 0.788 0.515 1.929 3.754
beta1_pH[12,4] 3.974 1.132 1.962 3.890 6.781
beta1_pH[13,4] 2.472 0.798 1.098 2.410 4.211
beta1_pH[14,4] 2.687 0.709 1.498 2.625 4.308
beta1_pH[15,4] 1.139 1.003 0.116 0.805 3.837
beta1_pH[16,4] 3.740 0.868 2.279 3.648 5.737
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 1.198 0.838 0.307 0.896 3.317
beta2_pH[2,1] 1.587 0.948 0.277 1.364 3.416
beta2_pH[3,1] 1.281 0.834 0.181 1.095 2.911
beta2_pH[4,1] 0.989 0.738 0.191 0.717 2.853
beta2_pH[5,1] 2.150 1.867 0.255 1.644 7.527
beta2_pH[6,1] 0.967 1.650 0.110 0.375 6.493
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.736 1.386 0.108 0.307 5.531
beta2_pH[9,1] 1.026 1.604 0.129 0.484 6.646
beta2_pH[10,1] 1.286 1.498 0.257 0.790 6.177
beta2_pH[11,1] 0.413 0.263 0.174 0.350 1.056
beta2_pH[12,1] 1.585 0.802 0.627 1.334 3.614
beta2_pH[13,1] 0.987 0.417 0.516 0.892 2.090
beta2_pH[14,1] 1.136 0.678 0.413 0.928 3.242
beta2_pH[15,1] 1.031 0.606 0.365 0.871 2.870
beta2_pH[16,1] 1.065 0.350 0.635 0.999 1.915
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 2.488 4.279 0.114 0.510 15.710
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 2.447 2.071 0.567 1.565 8.332
beta2_pH[9,3] 0.188 0.159 0.079 0.158 0.438
beta2_pH[10,3] 0.335 0.508 0.099 0.229 1.032
beta2_pH[11,3] -8.216 5.887 -22.473 -6.982 -0.413
beta2_pH[12,3] -8.249 5.895 -22.257 -7.057 -0.398
beta2_pH[13,3] -8.219 5.818 -22.251 -6.918 -0.464
beta2_pH[14,3] -8.237 5.792 -22.283 -6.949 -0.501
beta2_pH[15,3] -8.238 5.847 -22.420 -7.047 -0.442
beta2_pH[16,3] -8.203 5.767 -21.718 -7.084 -0.417
beta2_pH[11,4] -5.252 4.340 -16.601 -3.825 -0.660
beta2_pH[12,4] -5.643 4.181 -16.560 -4.480 -0.943
beta2_pH[13,4] -4.943 4.219 -16.140 -3.434 -0.690
beta2_pH[14,4] -5.072 4.245 -16.348 -3.537 -0.845
beta2_pH[15,4] -5.359 4.170 -15.986 -4.079 -0.801
beta2_pH[16,4] -5.459 3.939 -15.923 -4.114 -1.278
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 35.059 1.159 32.994 35.021 37.548
beta3_pH[2,1] 32.711 1.397 30.201 32.642 35.676
beta3_pH[3,1] 32.978 1.590 29.659 32.973 36.487
beta3_pH[4,1] 32.752 1.939 29.546 32.605 36.947
beta3_pH[5,1] 27.639 1.239 25.918 27.477 31.120
beta3_pH[6,1] 32.912 3.290 25.899 32.861 40.394
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 34.968 3.882 28.489 34.572 42.734
beta3_pH[9,1] 32.502 3.036 27.694 31.954 40.079
beta3_pH[10,1] 32.628 1.403 30.169 32.521 35.852
beta3_pH[11,1] 31.212 1.187 29.232 31.152 33.726
beta3_pH[12,1] 30.800 0.475 29.853 30.815 31.737
beta3_pH[13,1] 31.364 0.555 30.346 31.352 32.489
beta3_pH[14,1] 32.567 0.774 31.271 32.520 34.164
beta3_pH[15,1] 30.955 0.752 29.415 30.979 32.337
beta3_pH[16,1] 30.076 0.338 29.422 30.078 30.734
beta3_pH[1,2] 34.520 5.440 25.497 34.556 43.488
beta3_pH[2,2] 34.560 5.465 25.378 34.637 43.566
beta3_pH[3,2] 30.449 7.239 18.662 30.465 42.335
beta3_pH[4,2] 30.576 7.202 18.624 30.666 42.416
beta3_pH[5,2] 30.403 7.290 18.520 30.515 42.320
beta3_pH[6,2] 30.446 7.185 18.549 30.453 42.310
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 39.785 2.552 33.482 40.177 43.666
beta3_pH[2,3] 34.662 5.582 25.473 34.844 43.669
beta3_pH[3,3] 30.483 7.120 18.529 30.526 42.351
beta3_pH[4,3] 30.445 7.144 18.713 30.270 42.368
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 42.156 0.822 41.027 41.881 43.879
beta3_pH[9,3] 35.987 1.739 34.527 35.311 41.340
beta3_pH[10,3] 37.788 2.499 34.645 37.118 43.362
beta3_pH[11,3] 38.468 2.592 34.232 38.446 42.806
beta3_pH[12,3] 38.498 2.622 34.220 38.495 42.814
beta3_pH[13,3] 38.499 2.615 34.226 38.528 42.804
beta3_pH[14,3] 38.512 2.568 34.256 38.474 42.741
beta3_pH[15,3] 38.576 2.595 34.262 38.671 42.772
beta3_pH[16,3] 38.491 2.605 34.225 38.495 42.785
beta3_pH[11,4] 40.561 1.217 38.327 40.413 43.171
beta3_pH[12,4] 42.205 0.691 40.390 42.376 43.046
beta3_pH[13,4] 40.903 0.959 39.093 40.894 42.951
beta3_pH[14,4] 40.171 0.723 38.818 40.147 41.561
beta3_pH[15,4] 41.517 1.576 37.780 41.724 43.808
beta3_pH[16,4] 41.693 0.442 40.846 41.740 42.545
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.262 0.021 0.222 0.262 0.305
beta4_pH[2,1] 0.211 0.005 0.201 0.211 0.221
beta4_pH[3,1] 0.173 0.007 0.159 0.173 0.186
beta4_pH[4,1] 0.294 0.012 0.270 0.294 0.316
beta4_pH[5,1] 0.426 0.266 0.091 0.383 0.917
beta4_pH[6,1] 0.788 0.419 0.330 0.742 1.449
beta4_pH[7,1] 0.839 0.331 0.357 0.792 1.632
beta4_pH[8,1] 0.155 0.070 0.041 0.147 0.311
beta4_pH[9,1] 0.214 0.087 0.064 0.210 0.393
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.446 0.012 0.423 0.445 0.470
beta4_pH[12,1] 0.643 0.023 0.599 0.643 0.688
beta4_pH[13,1] 0.629 0.014 0.602 0.629 0.656
beta4_pH[14,1] 0.668 0.031 0.608 0.667 0.732
beta4_pH[15,1] 0.797 0.021 0.755 0.797 0.839
beta4_pH[16,1] 1.208 0.041 1.133 1.207 1.293
beta4_pH[1,2] 0.296 0.095 0.130 0.289 0.501
beta4_pH[2,2] 0.515 0.023 0.470 0.515 0.560
beta4_pH[3,2] 0.446 0.012 0.423 0.446 0.470
beta4_pH[4,2] 0.654 0.038 0.581 0.653 0.731
beta4_pH[5,2] 0.718 0.749 0.107 0.537 2.337
beta4_pH[6,2] 0.908 0.824 0.205 0.738 2.645
beta4_pH[7,2] 0.884 0.437 0.339 0.815 1.866
beta4_pH[8,2] 0.845 0.203 0.489 0.834 1.276
beta4_pH[9,2] 1.140 1.023 0.300 0.888 3.593
beta4_pH[10,2] 0.457 0.051 0.364 0.455 0.562
beta4_pH[11,2] 1.268 0.051 1.169 1.267 1.370
beta4_pH[12,2] 0.610 0.112 0.401 0.604 0.848
beta4_pH[13,2] 0.954 0.044 0.873 0.953 1.042
beta4_pH[14,2] 0.937 0.064 0.812 0.936 1.063
beta4_pH[15,2] 1.009 0.026 0.959 1.009 1.061
beta4_pH[16,2] 1.368 0.074 1.229 1.367 1.515
beta4_pH[1,3] 0.241 0.077 0.100 0.237 0.401
beta4_pH[2,3] 0.050 0.017 0.019 0.049 0.085
beta4_pH[3,3] 0.052 0.010 0.033 0.052 0.071
beta4_pH[4,3] 0.166 0.030 0.109 0.166 0.226
beta4_pH[5,3] 0.796 1.125 0.101 0.558 2.673
beta4_pH[6,3] 0.905 0.869 0.203 0.721 2.733
beta4_pH[7,3] 0.902 0.423 0.375 0.820 1.905
beta4_pH[8,3] 0.391 0.185 0.105 0.369 0.811
beta4_pH[9,3] 0.921 0.968 0.158 0.709 2.687
beta4_pH[10,3] 0.055 0.038 0.002 0.049 0.143
beta4_pH[11,3] 0.620 0.264 0.248 0.571 1.240
beta4_pH[12,3] 0.730 0.237 0.378 0.692 1.303
beta4_pH[13,3] 0.825 0.416 0.298 0.740 1.800
beta4_pH[14,3] 0.857 0.218 0.504 0.828 1.359
beta4_pH[15,3] 0.795 0.206 0.451 0.775 1.247
beta4_pH[16,3] 0.832 0.372 0.333 0.766 1.812
beta4_pH[1,4] 0.638 0.370 0.190 0.565 1.496
beta4_pH[2,4] 0.817 0.977 0.113 0.579 2.884
beta4_pH[3,4] 0.843 0.947 0.115 0.589 3.113
beta4_pH[4,4] 0.738 0.484 0.206 0.618 1.988
beta4_pH[5,4] 0.776 0.890 0.112 0.558 2.828
beta4_pH[6,4] 0.923 0.819 0.221 0.740 2.923
beta4_pH[7,4] 0.892 0.463 0.353 0.817 1.900
beta4_pH[8,4] 0.748 0.642 0.146 0.596 2.297
beta4_pH[9,4] 0.804 0.969 0.137 0.578 3.052
beta4_pH[10,4] 1.484 3.086 0.006 0.378 11.629
beta4_pH[11,4] 0.427 0.019 0.389 0.427 0.465
beta4_pH[12,4] 0.534 0.044 0.452 0.532 0.623
beta4_pH[13,4] 0.836 0.033 0.773 0.836 0.901
beta4_pH[14,4] 0.875 0.060 0.763 0.873 0.993
beta4_pH[15,4] 0.616 0.019 0.581 0.616 0.652
beta4_pH[16,4] 0.663 0.044 0.581 0.662 0.750
beta4_pH[1,5] 0.643 0.384 0.200 0.566 1.535
beta4_pH[2,5] 0.822 0.958 0.114 0.580 3.185
beta4_pH[3,5] 0.882 1.034 0.118 0.605 3.279
beta4_pH[4,5] 0.726 0.449 0.198 0.622 1.882
beta4_pH[5,5] 0.750 0.772 0.111 0.555 2.677
beta4_pH[6,5] 0.911 0.762 0.216 0.739 2.649
beta4_pH[7,5] 0.905 0.452 0.361 0.818 1.981
beta4_pH[8,5] 0.738 0.681 0.147 0.580 2.235
beta4_pH[9,5] 0.773 0.860 0.129 0.560 2.685
beta4_pH[10,5] 1.458 3.164 0.006 0.369 12.146
beta4_pH[11,5] 0.309 0.081 0.155 0.304 0.477
beta4_pH[12,5] 0.866 0.292 0.459 0.809 1.566
beta4_pH[13,5] 2.559 0.346 1.922 2.548 3.283
beta4_pH[14,5] 0.835 0.191 0.513 0.815 1.268
beta4_pH[15,5] 0.923 0.076 0.796 0.915 1.099
beta4_pH[16,5] 0.943 0.388 0.368 0.882 1.898
beta0_pelagic[1] 2.266 0.036 2.199 2.265 2.339
beta0_pelagic[2] 1.538 0.007 1.524 1.537 1.552
beta0_pelagic[3] 0.184 0.253 -0.458 0.243 0.543
beta0_pelagic[4] 0.226 0.215 -0.272 0.239 0.621
beta0_pelagic[5] 1.443 0.157 1.146 1.440 1.761
beta0_pelagic[6] 1.357 0.060 1.245 1.355 1.478
beta0_pelagic[7] 1.469 0.038 1.399 1.467 1.548
beta0_pelagic[8] 1.670 0.042 1.593 1.670 1.753
beta0_pelagic[9] 2.776 0.064 2.657 2.776 2.904
beta0_pelagic[10] 2.602 0.030 2.545 2.602 2.666
beta0_pelagic[11] -0.172 0.212 -0.707 -0.146 0.165
beta0_pelagic[12] 1.798 0.036 1.730 1.797 1.874
beta0_pelagic[13] -1.707 0.806 -3.531 -1.669 -0.297
beta0_pelagic[14] -0.088 0.195 -0.580 -0.056 0.200
beta0_pelagic[15] -0.199 0.029 -0.278 -0.188 -0.174
beta0_pelagic[16] -0.874 0.326 -1.893 -0.814 -0.472
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.768 0.277 0.338 0.730 1.529
beta1_pelagic[4] 0.826 0.243 0.393 0.815 1.379
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.216 0.294 0.740 1.184 1.919
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 4.149 1.418 1.803 3.929 7.260
beta1_pelagic[14] 1.599 0.524 0.866 1.478 2.933
beta1_pelagic[15] 0.064 0.130 0.000 0.009 0.511
beta1_pelagic[16] 2.033 0.483 1.432 1.942 3.536
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.409 6.031 0.200 4.672 20.837
beta2_pelagic[4] 7.696 6.112 0.358 6.377 22.597
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.773 1.527 0.247 1.281 5.925
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.126 0.070 0.055 0.110 0.304
beta2_pelagic[14] 0.999 1.183 0.167 0.552 5.188
beta2_pelagic[15] 2.643 1.934 0.180 2.289 7.288
beta2_pelagic[16] 1.469 1.148 0.193 1.100 4.566
beta3_pelagic[1] 28.734 3.930 22.391 28.673 35.167
beta3_pelagic[2] 28.666 3.889 22.354 28.599 35.162
beta3_pelagic[3] 27.829 2.711 23.249 28.222 32.082
beta3_pelagic[4] 26.181 1.398 23.351 26.282 29.323
beta3_pelagic[5] 29.236 6.613 18.634 29.146 40.335
beta3_pelagic[6] 29.227 6.546 18.645 29.123 40.200
beta3_pelagic[7] 29.586 6.622 18.693 29.693 40.421
beta3_pelagic[8] 29.336 6.650 18.513 29.290 40.332
beta3_pelagic[9] 29.487 6.554 18.603 29.380 40.495
beta3_pelagic[10] 29.330 6.691 18.568 29.297 40.240
beta3_pelagic[11] 29.903 1.256 27.394 29.907 32.581
beta3_pelagic[12] 30.000 0.000 30.000 30.000 30.000
beta3_pelagic[13] 30.820 3.698 25.244 30.495 37.564
beta3_pelagic[14] 35.340 1.955 31.943 35.057 39.813
beta3_pelagic[15] 33.517 5.769 23.543 34.023 41.739
beta3_pelagic[16] 30.287 0.921 28.382 30.312 31.853
beta0_yellow[1] -0.483 0.080 -0.634 -0.483 -0.320
beta0_yellow[2] 0.457 0.136 0.098 0.473 0.647
beta0_yellow[3] -0.235 0.121 -0.480 -0.236 -0.007
beta0_yellow[4] 0.745 0.259 -0.028 0.805 1.079
beta0_yellow[5] 0.239 0.335 -0.473 0.267 0.821
beta0_yellow[6] 0.820 0.108 0.610 0.819 1.035
beta0_yellow[7] 1.010 0.101 0.812 1.010 1.206
beta0_yellow[8] 1.016 0.094 0.832 1.015 1.204
beta0_yellow[9] 0.441 0.101 0.240 0.443 0.636
beta0_yellow[10] 0.539 0.070 0.397 0.538 0.676
beta0_yellow[11] -0.197 0.124 -0.460 -0.184 0.015
beta0_yellow[12] -1.093 0.096 -1.278 -1.091 -0.912
beta0_yellow[13] -1.353 0.166 -1.705 -1.342 -1.072
beta0_yellow[14] -0.255 0.158 -0.597 -0.238 -0.013
beta0_yellow[15] -1.247 0.134 -1.575 -1.231 -1.030
beta0_yellow[16] -0.247 0.095 -0.432 -0.245 -0.063
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 0.934 0.274 0.474 0.904 1.602
beta1_yellow[3] 0.497 0.231 0.027 0.509 0.925
beta1_yellow[4] 1.220 0.491 0.595 1.107 2.613
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.262 0.341 0.001 0.084 1.143
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.970 0.973 0.019 0.737 4.300
beta1_yellow[14] 0.601 0.834 0.012 0.379 3.248
beta1_yellow[15] 0.166 0.211 0.011 0.079 0.705
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -5.506 5.497 -19.747 -3.470 -0.209
beta2_yellow[3] -7.840 5.875 -22.408 -6.550 -0.532
beta2_yellow[4] -4.970 5.598 -19.749 -2.671 -0.130
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -7.879 5.891 -22.091 -6.662 -0.426
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] -6.366 5.503 -19.837 -4.809 -0.351
beta2_yellow[14] -6.994 5.454 -19.801 -5.723 -0.347
beta2_yellow[15] -7.652 5.556 -20.513 -6.506 -0.377
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 31.215 1.191 30.026 30.887 33.955
beta3_yellow[3] 33.279 2.091 30.388 32.935 38.526
beta3_yellow[4] 33.243 1.690 30.282 33.111 36.622
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 35.204 3.747 30.410 34.144 43.433
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 33.819 2.667 29.327 33.793 40.036
beta3_yellow[14] 34.066 3.450 29.260 33.683 43.072
beta3_yellow[15] 36.478 3.809 30.278 36.241 43.454
beta3_yellow[16] 35.000 0.000 35.000 35.000 35.000
beta0_black[1] -0.003 0.072 -0.143 -0.005 0.138
beta0_black[2] 1.855 0.032 1.793 1.855 1.919
beta0_black[3] 1.239 0.037 1.167 1.239 1.314
beta0_black[4] 2.416 0.047 2.325 2.415 2.511
beta0_black[5] 5.032 2.317 1.997 4.544 10.805
beta0_black[6] 4.860 2.021 2.446 4.360 10.274
beta0_black[7] 3.715 2.040 1.475 3.146 9.258
beta0_black[8] 0.761 0.189 0.411 0.754 1.147
beta0_black[9] 2.697 0.240 2.236 2.693 3.184
beta0_black[10] 1.280 0.050 1.183 1.280 1.381
beta0_black[11] 3.351 0.108 3.130 3.352 3.565
beta0_black[12] 4.861 0.163 4.549 4.860 5.175
beta0_black[13] 0.264 0.217 0.008 0.218 0.835
beta0_black[14] 2.932 0.127 2.678 2.933 3.183
beta0_black[15] 0.790 0.100 0.603 0.789 0.993
beta0_black[16] 4.251 0.131 3.989 4.253 4.514
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.548 1.690 -6.665 -2.166 -0.350
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.260 1.921 33.414 38.619 40.611
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.306 0.089 -0.482 -0.306 -0.138
beta4_black[2] 0.256 0.053 0.154 0.254 0.360
beta4_black[3] -0.733 0.062 -0.854 -0.733 -0.609
beta4_black[4] 0.567 0.122 0.334 0.567 0.819
beta4_black[5] 0.712 1.379 -1.125 0.482 3.940
beta4_black[6] 0.798 1.313 -0.770 0.537 3.914
beta4_black[7] 0.747 1.487 -0.868 0.463 4.163
beta4_black[8] 0.079 0.261 -0.452 0.083 0.583
beta4_black[9] 0.978 0.802 -0.135 0.806 2.982
beta4_black[10] 0.079 0.067 -0.052 0.080 0.208
beta4_black[11] -0.651 0.083 -0.812 -0.651 -0.486
beta4_black[12] 1.065 0.261 0.567 1.065 1.591
beta4_black[13] -0.982 0.077 -1.135 -0.981 -0.832
beta4_black[14] 0.083 0.163 -0.232 0.080 0.403
beta4_black[15] 0.284 0.049 0.186 0.284 0.377
beta4_black[16] -0.560 0.160 -0.867 -0.561 -0.247
beta0_dsr[11] -0.338 0.009 -0.356 -0.338 -0.320
beta0_dsr[12] 1.420 0.045 1.332 1.420 1.509
beta0_dsr[13] 0.143 0.021 0.102 0.142 0.184
beta0_dsr[14] -0.128 0.017 -0.161 -0.128 -0.094
beta0_dsr[15] 0.197 0.014 0.170 0.197 0.224
beta0_dsr[16] 0.209 0.015 0.180 0.209 0.239
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.550 0.036 0.479 0.549 0.618
beta4_dsr[12] 0.786 0.234 0.347 0.781 1.266
beta4_dsr[13] -0.079 0.041 -0.158 -0.079 0.005
beta4_dsr[14] -0.213 0.072 -0.354 -0.214 -0.073
beta4_dsr[15] 0.225 0.022 0.183 0.225 0.267
beta4_dsr[16] -0.100 0.045 -0.189 -0.099 -0.014
beta0_slope[11] -2.199 0.021 -2.240 -2.198 -2.159
beta0_slope[12] -5.156 0.174 -5.477 -5.164 -4.809
beta0_slope[13] -1.473 0.034 -1.541 -1.473 -1.408
beta0_slope[14] -2.685 0.049 -2.781 -2.685 -2.590
beta0_slope[15] -1.591 0.022 -1.635 -1.591 -1.545
beta0_slope[16] -3.015 0.046 -3.105 -3.014 -2.928
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.344 0.074 -0.491 -0.343 -0.193
beta4_slope[12] -4.260 0.810 -5.972 -4.215 -2.738
beta4_slope[13] 0.305 0.053 0.202 0.305 0.409
beta4_slope[14] -0.191 0.149 -0.486 -0.188 0.094
beta4_slope[15] -0.363 0.033 -0.429 -0.363 -0.299
beta4_slope[16] 0.216 0.105 0.000 0.219 0.412
beta5_slope[11] 3.077 0.107 2.873 3.074 3.290
beta5_slope[12] 1.586 0.400 0.852 1.580 2.386
beta5_slope[13] 0.864 0.078 0.711 0.862 1.017
beta5_slope[14] 3.761 0.356 3.120 3.747 4.513
beta5_slope[15] 1.385 0.075 1.235 1.385 1.533
beta5_slope[16] 2.730 0.229 2.311 2.720 3.202
tau_comp[1] 3.846 0.299 3.284 3.841 4.442
tau_comp[2] 2.842 0.252 2.382 2.835 3.369
tau_comp[3] 1.340 0.106 1.147 1.336 1.548
tau_comp[4] 1.339 0.203 0.984 1.324 1.777
tau_comp[5] 1.208 0.175 0.906 1.196 1.589
sigma_H[1] 0.205 0.048 0.121 0.203 0.308
sigma_H[2] 0.175 0.028 0.127 0.172 0.238
sigma_H[3] 0.187 0.040 0.118 0.184 0.269
sigma_H[4] 0.462 0.079 0.334 0.454 0.635
sigma_H[5] 0.962 0.199 0.603 0.952 1.383
sigma_H[6] 0.534 0.194 0.148 0.528 0.939
sigma_H[7] 0.309 0.060 0.214 0.301 0.446
sigma_H[8] 0.419 0.087 0.285 0.410 0.614
sigma_H[9] 0.512 0.114 0.333 0.496 0.774
sigma_H[10] 0.209 0.038 0.143 0.206 0.291
sigma_H[11] 0.265 0.044 0.192 0.260 0.361
sigma_H[12] 0.382 0.146 0.199 0.339 0.718
sigma_H[13] 0.221 0.036 0.159 0.218 0.300
sigma_H[14] 0.501 0.091 0.346 0.494 0.704
sigma_H[15] 0.228 0.038 0.162 0.225 0.313
sigma_H[16] 0.213 0.041 0.145 0.209 0.306
lambda_H[1] 2.124 3.414 0.081 0.969 10.926
lambda_H[2] 5.110 4.633 0.501 3.609 17.808
lambda_H[3] 5.499 8.177 0.300 2.732 27.325
lambda_H[4] 0.006 0.004 0.001 0.005 0.017
lambda_H[5] 2.581 6.388 0.021 0.730 18.409
lambda_H[6] 6.428 13.676 0.009 0.309 47.546
lambda_H[7] 0.012 0.008 0.002 0.010 0.033
lambda_H[8] 8.087 10.445 0.100 4.564 37.198
lambda_H[9] 0.015 0.010 0.003 0.013 0.038
lambda_H[10] 0.218 0.232 0.028 0.153 0.741
lambda_H[11] 0.230 0.331 0.010 0.104 1.137
lambda_H[12] 3.729 4.970 0.181 2.176 16.059
lambda_H[13] 3.185 2.956 0.269 2.294 11.446
lambda_H[14] 3.386 4.019 0.242 2.153 13.891
lambda_H[15] 0.018 0.020 0.003 0.014 0.060
lambda_H[16] 0.580 0.974 0.035 0.289 2.990
mu_lambda_H[1] 4.050 1.857 1.019 3.827 8.043
mu_lambda_H[2] 3.682 1.988 0.479 3.505 7.720
mu_lambda_H[3] 3.369 1.830 0.746 3.062 7.555
sigma_lambda_H[1] 8.072 4.295 1.732 7.388 18.112
sigma_lambda_H[2] 8.068 4.698 0.752 7.459 18.380
sigma_lambda_H[3] 6.161 3.925 0.968 5.272 15.980
beta_H[1,1] 6.480 1.304 3.252 6.709 8.418
beta_H[2,1] 9.767 0.621 8.423 9.791 10.934
beta_H[3,1] 7.848 0.812 5.990 7.954 9.169
beta_H[4,1] 10.708 7.748 -4.508 10.872 26.229
beta_H[5,1] -0.336 2.638 -5.462 -0.167 3.967
beta_H[6,1] 3.069 4.329 -7.490 4.554 8.161
beta_H[7,1] 1.276 5.679 -10.720 1.726 11.723
beta_H[8,1] 1.321 4.147 -2.525 1.191 3.557
beta_H[9,1] 13.358 5.590 2.248 13.259 24.299
beta_H[10,1] 6.766 1.854 2.987 6.825 10.217
beta_H[11,1] 4.813 3.518 -2.836 5.370 9.825
beta_H[12,1] 2.634 1.095 0.752 2.535 5.130
beta_H[13,1] 9.098 0.850 7.350 9.142 10.535
beta_H[14,1] 2.137 1.002 0.111 2.149 4.131
beta_H[15,1] -7.091 3.389 -13.252 -7.268 0.153
beta_H[16,1] 3.752 2.924 -0.983 3.407 10.460
beta_H[1,2] 7.779 0.270 7.205 7.783 8.299
beta_H[2,2] 9.881 0.163 9.558 9.881 10.211
beta_H[3,2] 8.800 0.196 8.422 8.796 9.196
beta_H[4,2] 2.996 1.453 0.238 2.968 5.920
beta_H[5,2] 1.760 0.968 -0.134 1.744 3.655
beta_H[6,2] 6.021 1.104 3.557 6.188 7.785
beta_H[7,2] 2.389 1.051 0.481 2.338 4.683
beta_H[8,2] 2.985 1.123 1.320 3.127 4.222
beta_H[9,2] 3.227 1.088 1.219 3.198 5.509
beta_H[10,2] 8.052 0.362 7.272 8.065 8.732
beta_H[11,2] 9.838 0.632 8.857 9.743 11.195
beta_H[12,2] 3.926 0.367 3.227 3.911 4.675
beta_H[13,2] 9.151 0.242 8.684 9.143 9.641
beta_H[14,2] 4.016 0.338 3.349 4.011 4.691
beta_H[15,2] 11.537 0.615 10.277 11.562 12.706
beta_H[16,2] 4.526 0.817 3.030 4.504 6.187
beta_H[1,3] 8.450 0.258 7.992 8.435 8.973
beta_H[2,3] 9.863 0.145 9.571 9.866 10.146
beta_H[3,3] 9.461 0.162 9.151 9.457 9.797
beta_H[4,3] -2.193 0.863 -3.857 -2.213 -0.519
beta_H[5,3] 3.880 0.612 2.632 3.892 5.037
beta_H[6,3] 8.379 1.208 6.645 8.045 10.967
beta_H[7,3] -2.572 0.617 -3.834 -2.567 -1.386
beta_H[8,3] 5.272 0.523 4.667 5.201 6.283
beta_H[9,3] -2.748 0.724 -4.187 -2.727 -1.399
beta_H[10,3] 8.541 0.273 7.998 8.541 9.058
beta_H[11,3] 8.495 0.286 7.886 8.511 9.014
beta_H[12,3] 5.265 0.324 4.503 5.299 5.806
beta_H[13,3] 8.869 0.178 8.512 8.873 9.199
beta_H[14,3] 5.771 0.275 5.170 5.792 6.260
beta_H[15,3] 10.274 0.295 9.696 10.277 10.845
beta_H[16,3] 6.090 0.579 4.932 6.123 7.147
beta_H[1,4] 8.095 0.185 7.706 8.108 8.431
beta_H[2,4] 9.852 0.130 9.576 9.861 10.088
beta_H[3,4] 9.955 0.150 9.636 9.963 10.222
beta_H[4,4] 11.811 0.460 10.909 11.817 12.709
beta_H[5,4] 5.585 0.754 4.381 5.484 7.350
beta_H[6,4] 7.191 0.924 5.221 7.421 8.521
beta_H[7,4] 8.543 0.338 7.850 8.547 9.187
beta_H[8,4] 6.718 0.254 6.233 6.735 7.140
beta_H[9,4] 7.444 0.450 6.600 7.435 8.349
beta_H[10,4] 7.530 0.216 7.119 7.523 7.978
beta_H[11,4] 9.501 0.193 9.113 9.502 9.876
beta_H[12,4] 7.243 0.205 6.851 7.240 7.678
beta_H[13,4] 9.061 0.146 8.759 9.064 9.334
beta_H[14,4] 7.811 0.215 7.391 7.810 8.247
beta_H[15,4] 9.455 0.217 9.034 9.457 9.881
beta_H[16,4] 9.448 0.237 9.012 9.441 9.936
beta_H[1,5] 8.899 0.156 8.580 8.905 9.215
beta_H[2,5] 10.678 0.097 10.501 10.673 10.886
beta_H[3,5] 10.762 0.161 10.466 10.763 11.088
beta_H[4,5] 8.351 0.487 7.413 8.338 9.330
beta_H[5,5] 5.190 0.620 3.691 5.283 6.151
beta_H[6,5] 8.971 0.628 8.008 8.855 10.354
beta_H[7,5] 6.570 0.338 5.930 6.555 7.264
beta_H[8,5] 8.252 0.219 7.886 8.234 8.686
beta_H[9,5] 8.187 0.452 7.265 8.192 9.054
beta_H[10,5] 10.046 0.222 9.618 10.046 10.475
beta_H[11,5] 11.594 0.226 11.147 11.596 12.036
beta_H[12,5] 8.609 0.189 8.227 8.616 8.984
beta_H[13,5] 10.126 0.131 9.875 10.123 10.386
beta_H[14,5] 9.238 0.220 8.837 9.222 9.694
beta_H[15,5] 11.301 0.235 10.844 11.300 11.756
beta_H[16,5] 9.866 0.184 9.478 9.874 10.201
beta_H[1,6] 10.125 0.242 9.731 10.092 10.718
beta_H[2,6] 11.470 0.116 11.241 11.468 11.703
beta_H[3,6] 10.620 0.152 10.289 10.628 10.897
beta_H[4,6] 12.898 0.880 11.200 12.901 14.583
beta_H[5,6] 5.684 0.663 4.557 5.658 7.068
beta_H[6,6] 8.741 0.566 7.435 8.781 9.769
beta_H[7,6] 10.561 0.583 9.417 10.562 11.694
beta_H[8,6] 9.522 0.265 9.010 9.538 9.949
beta_H[9,6] 8.284 0.764 6.762 8.270 9.858
beta_H[10,6] 9.145 0.344 8.397 9.165 9.751
beta_H[11,6] 10.692 0.368 9.907 10.717 11.334
beta_H[12,6] 9.378 0.237 8.950 9.367 9.891
beta_H[13,6] 11.067 0.153 10.761 11.063 11.372
beta_H[14,6] 9.926 0.282 9.359 9.931 10.457
beta_H[15,6] 10.516 0.412 9.722 10.521 11.315
beta_H[16,6] 10.594 0.253 10.053 10.606 11.078
beta_H[1,7] 10.152 1.251 6.888 10.414 11.850
beta_H[2,7] 12.135 0.519 11.024 12.161 13.110
beta_H[3,7] 10.276 0.650 8.778 10.340 11.352
beta_H[4,7] 1.494 4.506 -7.434 1.469 10.180
beta_H[5,7] 5.800 2.101 1.875 5.846 9.929
beta_H[6,7] 7.199 3.164 -0.617 8.337 11.043
beta_H[7,7] 7.570 2.958 1.845 7.586 13.479
beta_H[8,7] 10.872 0.948 9.372 10.859 12.468
beta_H[9,7] 5.072 3.911 -3.023 5.126 12.846
beta_H[10,7] 10.020 1.643 7.141 9.846 13.737
beta_H[11,7] 11.342 1.815 8.069 11.190 15.265
beta_H[12,7] 9.819 0.968 7.722 9.893 11.448
beta_H[13,7] 11.688 0.706 10.146 11.744 12.933
beta_H[14,7] 10.652 0.918 8.758 10.666 12.415
beta_H[15,7] 14.127 2.170 9.871 14.152 18.317
beta_H[16,7] 12.835 1.352 10.513 12.700 15.800
beta0_H[1] 8.290 18.009 -29.480 8.922 45.822
beta0_H[2] 10.271 7.879 -5.878 10.355 26.132
beta0_H[3] 9.530 9.717 -9.977 9.664 29.440
beta0_H[4] 3.631 185.472 -372.843 6.385 376.461
beta0_H[5] 4.051 32.662 -50.995 4.177 61.332
beta0_H[6] 7.279 52.128 -106.296 7.583 125.820
beta0_H[7] 5.700 141.069 -272.065 5.363 286.580
beta0_H[8] 6.431 34.427 -17.399 6.435 31.258
beta0_H[9] 6.166 120.588 -237.979 6.876 242.184
beta0_H[10] 9.541 35.690 -62.437 8.851 83.942
beta0_H[11] 8.388 50.861 -100.678 9.606 120.044
beta0_H[12] 6.843 12.706 -16.283 6.738 30.883
beta0_H[13] 9.885 11.163 -12.161 9.982 30.971
beta0_H[14] 7.123 12.182 -19.778 7.405 30.663
beta0_H[15] 7.570 115.598 -222.811 6.671 234.109
beta0_H[16] 8.248 30.709 -50.685 8.172 70.047